The c.d.f. $\mathrm{F}(x)$ of discrete r.v. $\mathrm{X}$ is given by then $P[X=3]=$

The c.d.f. $\mathrm{F}(x)$ of discrete r.v. $\mathrm{X}$ is given by then $P[X=3]=$
  1. $0 \cdot 85$
  2. $0 \cdot 10$
  3. $0 \cdot 75$
  4. $0 \cdot 65$

Solution

$\begin{aligned} \mathrm{P}[\mathrm{X}=3] &=\mathrm{F}(3)-\mathrm{F}(2) \\ &=0.75-0.65=0.10 \end{aligned}$

Asked in: MHT CET 2020 (19 Oct Shift 1)

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